Question

1. Calculate the angular momentum of the Sun and compare it to the sum angular momentum of the planets (of their orbits only).

Answer #1

Rotational Angular momentum of a sphere of mass M and radius R is given by:

for Sun, T = period of rotation = 24.6 days = 24.6 x 24 x 3600 seconds

R = 695500000 meters and M = 1.989 x 10^{30} kg

this gives, L_{sun} = 1.137 x 10^{42}
kgm^{2}/s

Orbital angular momentum of the planets is:

where R is the distance from the planet to Sun and T is the period of one complete revolution.

For Mars, M = 3.3 x 10^{23} kg, R = 58 x 10^{9}
m and T = 87.97 days

=> L_{mercury} = 9.177 x 10 kgm^{2}/s

Repeat for other planets.

Show that the angular momentum of a planet orbiting the Sun is
conserved (neglect any perturbing forces from other planets and
assume Newton’s law of gravitation).

The planet Earth orbits around the Sun and also spins around its
own axis.
A) Calculate the angular momentum of the Earth in its
orbit around the Sun in kg • m2/s
B) Calculate the angular momentum of the Earth spining on its
axis in kg•m2/s
C) How many times larger is the angular momentum of the Earth in
its orbit than the angular momentum of the Earth around its
axis?

(a) Calculate the angular momentum of Earth that arises from its
spinning motion on its axis, treating Earth as a uniform solid
sphere. J · s (b) Calculate the angular momentum of Earth that
arises from its orbital motion about the Sun, treating Earth as a
point particle. J · s

a) Calculate the angular momentum of Earth that arises from its
spinning motion on its axis, treating Earth as a uniform solid
sphere. J · s (b) Calculate the angular momentum of Earth that
arises from its orbital motion about the Sun, treating Earth as a
point particle. J · s

The angular momentum of Tanya Harding’s triple axel?
Calculate the angular
velocity and angular momentum of Tanya while she is in midair
during the first two jumps (triple lutz and triple axel)
a)calculate the
angular velocity and angular momentum of Tanya while she is in
midair during the jump. Note that triple here implies three
revolutions
During the jump, Tanya
pulls her arms in, so to find her moment of inertia we can
approximate her shape as a solid cylinder....

(a.) calculate the angular velocity (in rad/s) of the Earthh in its
orbit around the sun and that about its axus
(b.) calculat the moment of inertia, the angular momentum, and
the rotational kinetic enegies for both cases

The physics students wish to test the law of conservation of
angular momentum
perform a completely inelastic collision between two discs. They
attach disc 1 (from part 1) to the rotational sensor then give it a
spin. After about 4 seconds, they drop disc 2 on top of disc 1. The
whole process takes only ~10 seconds total.
Use the rate of change of the single disc angular velocity and
the duration of the collision to find a corrected value...

Determining the rotation of planets about the Sun is important
to NASA. Find the angular speed (omega) of Mercury about the Sun in
radians per second and degrees per day. (See Table 7.3)
_______ rad/s
_______ deg/d

a) Calculate the angular momentum in the J=1 rotational
level for H2 , which has a bond length of 74.13 pm .
b) Calculate the energy in the J=1 rotational level for
H2 , which has a bond length of 74.13 pm .
please show all steps to both parts

-Calculate the magnitude of the maximum orbital angular momentum
Lmax for an electron in a hydrogen atom for states with a
principal quantum number of 8.
Express your answer in units of ℏ to three significant
figures.
-Calculate the magnitude of the maximum orbital angular momentum
Lmax for an electron in a hydrogen atom for states with a
principal quantum number of 48.
Express your answer in units of ℏ to three significant
figures.
-Calculate the magnitude of the maximum...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 13 minutes ago

asked 13 minutes ago

asked 29 minutes ago

asked 35 minutes ago

asked 42 minutes ago

asked 50 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago